Stability in probability of stochastic complex networks with time-varying delays and multi-links via mode-dependent control

Dong Hou; Haolin Wang; Xin Zhao; Wenxue Li

doi:10.1016/j.cnsns.2026.110080

Stability in probability of stochastic complex networks with time-varying delays and multi-links via mode-dependent control

Dong Hou
, Haolin Wang
, Xin Zhao^*
, Wenxue Li

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates the stability in probability of stochastic complex networks with time-varying delays and multi-links (SCNTDM). These networks are governed by mode-dependent control strategies that are subject to Markovian switching over infinite countable state spaces. Under suitable assumptions and by applying graph theory and the Lyapunov method, we establish rigorous sufficient conditions for stability in probability. Moreover, the role of the mode-dependent control strategy in achieving stability in probability is highlighted. The theoretical results are then applied to Chua’s circuit, and numerical simulations are conducted in order to verify the validity of the theoretical analysis.

Original language	English
Article number	110080
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	161
DOIs	https://doi.org/10.1016/j.cnsns.2026.110080
State	Published - Oct 2026
Externally published	Yes

Keywords

Chua’s circuit
Mode-dependent control
Stochastic complex networks
Time-varying delays

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10.1016/j.cnsns.2026.110080

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title = "Stability in probability of stochastic complex networks with time-varying delays and multi-links via mode-dependent control",

abstract = "This paper investigates the stability in probability of stochastic complex networks with time-varying delays and multi-links (SCNTDM). These networks are governed by mode-dependent control strategies that are subject to Markovian switching over infinite countable state spaces. Under suitable assumptions and by applying graph theory and the Lyapunov method, we establish rigorous sufficient conditions for stability in probability. Moreover, the role of the mode-dependent control strategy in achieving stability in probability is highlighted. The theoretical results are then applied to Chua{\textquoteright}s circuit, and numerical simulations are conducted in order to verify the validity of the theoretical analysis.",

keywords = "Chua{\textquoteright}s circuit, Mode-dependent control, Stochastic complex networks, Time-varying delays",

author = "Dong Hou and Haolin Wang and Xin Zhao and Wenxue Li",

note = "Publisher Copyright: {\textcopyright} 2026 Elsevier B.V.",

year = "2026",

month = oct,

doi = "10.1016/j.cnsns.2026.110080",

language = "英语",

volume = "161",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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TY - JOUR

T1 - Stability in probability of stochastic complex networks with time-varying delays and multi-links via mode-dependent control

AU - Hou, Dong

AU - Wang, Haolin

AU - Zhao, Xin

AU - Li, Wenxue

PY - 2026/10

Y1 - 2026/10

N2 - This paper investigates the stability in probability of stochastic complex networks with time-varying delays and multi-links (SCNTDM). These networks are governed by mode-dependent control strategies that are subject to Markovian switching over infinite countable state spaces. Under suitable assumptions and by applying graph theory and the Lyapunov method, we establish rigorous sufficient conditions for stability in probability. Moreover, the role of the mode-dependent control strategy in achieving stability in probability is highlighted. The theoretical results are then applied to Chua’s circuit, and numerical simulations are conducted in order to verify the validity of the theoretical analysis.

AB - This paper investigates the stability in probability of stochastic complex networks with time-varying delays and multi-links (SCNTDM). These networks are governed by mode-dependent control strategies that are subject to Markovian switching over infinite countable state spaces. Under suitable assumptions and by applying graph theory and the Lyapunov method, we establish rigorous sufficient conditions for stability in probability. Moreover, the role of the mode-dependent control strategy in achieving stability in probability is highlighted. The theoretical results are then applied to Chua’s circuit, and numerical simulations are conducted in order to verify the validity of the theoretical analysis.

KW - Chua’s circuit

KW - Mode-dependent control

KW - Stochastic complex networks

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/105038847585

U2 - 10.1016/j.cnsns.2026.110080

DO - 10.1016/j.cnsns.2026.110080

M3 - 文章

AN - SCOPUS:105038847585

SN - 1007-5704

VL - 161

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

M1 - 110080

ER -

Stability in probability of stochastic complex networks with time-varying delays and multi-links via mode-dependent control

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Keywords

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